diff --git a/OpenRA.Game/Graphics/Sheet.cs b/OpenRA.Game/Graphics/Sheet.cs
index 2df6a0dd2b..2de2d1ce81 100644
--- a/OpenRA.Game/Graphics/Sheet.cs
+++ b/OpenRA.Game/Graphics/Sheet.cs
@@ -132,6 +132,7 @@ namespace OpenRA.Graphics
 		{
 			if (!Buffered)
 				return;
+
 			dirty = true;
 			releaseBufferOnCommit = true;
 
@@ -140,6 +141,25 @@ namespace OpenRA.Graphics
 				GetTexture();
 		}
 
+		public bool ReleaseBufferAndTryTransferTo(Sheet destination)
+		{
+			if (Size != destination.Size)
+				throw new ArgumentException("Destination sheet does not have the same size", nameof(destination));
+
+			var buffer = data;
+			ReleaseBuffer();
+
+			// Only transfer if the destination has no data that would be lost by overwriting.
+			if (buffer != null && destination.data == null && destination.texture == null)
+			{
+				Array.Clear(buffer, 0, buffer.Length);
+				destination.data = buffer;
+				return true;
+			}
+
+			return false;
+		}
+
 		public void Dispose()
 		{
 			texture?.Dispose();
diff --git a/OpenRA.Game/Graphics/SheetBuilder.cs b/OpenRA.Game/Graphics/SheetBuilder.cs
index 78dfb5f8e4..1237972726 100644
--- a/OpenRA.Game/Graphics/SheetBuilder.cs
+++ b/OpenRA.Game/Graphics/SheetBuilder.cs
@@ -130,8 +130,13 @@ namespace OpenRA.Graphics
 				var next = NextChannel(CurrentChannel);
 				if (next == null)
 				{
-					Current.ReleaseBuffer();
+					var previous = Current;
 					Current = allocateSheet();
+
+					// Reuse the backing buffer between sheets where possible.
+					// This avoids allocating additional buffers which the GC must clean up.
+					previous.ReleaseBufferAndTryTransferTo(Current);
+
 					sheets.Add(Current);
 					CurrentChannel = Type == SheetType.Indexed ? TextureChannel.Red : TextureChannel.RGBA;
 				}